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Finding the Fourth Proportional to 1,465.61, 2,198.31 and 632.64

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Solution

The fourth proportional to 1,465.61, 2,198.31 and 632.64 is: 948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.61 : 2,198.31 = 632.64 : x
  2. Step 2: Convert to fraction form
    1,465.61/2,198.31 = 632.64/x
  3. Step 3: Cross multiply
    1,465.61x = 2,198.31 × 632.64
  4. Step 4: Simplify right side
    1,465.61x = 1,390,738.84
  5. Step 5: Solve for x
    x = 1,390,738.84/1,465.61
  6. Step 6: Final answer
    x = 948.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.